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Finding the Fourth Proportional to 16,307.24, 22,506 and 9,233.52

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Solution

The fourth proportional to 16,307.24, 22,506 and 9,233.52 is: 12,743.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,307.24 : 22,506 = 9,233.52 : x
  2. Step 2: Convert to fraction form
    16,307.24/22,506 = 9,233.52/x
  3. Step 3: Cross multiply
    16,307.24x = 22,506 × 9,233.52
  4. Step 4: Simplify right side
    16,307.24x = 207,809,601.12
  5. Step 5: Solve for x
    x = 207,809,601.12/16,307.24
  6. Step 6: Final answer
    x = 12,743.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.